QUESTION $6$

An I$-$Beam, $178$ mm deep, has a web $8$ mm thick. The flanges are $102$ mm wide and $12$ mm thick. If the beam is simple supported with a span of $4$ m and is subjected to a load of $35$ kN at a midspan. Calculate:

$($a$)$ The maximum shear stress in a beam, and

$($b$)$ The shear stress jump at the flange$-$web junction.